In A B C, B=90^ , seg DE side AC . A D=6, A B=12, A C=18, then fi… - Vidyadip

Question

In $\triangle A B C, \angle B=90^{\circ}$, seg $DE \perp$ side AC . $A D=6, A B=12$, $A C=18$, then find $A E$.

✓

Answer

4 units

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from P-2 Similarity→P-2 Similarity — all question types→Maths STD 10 question papers→Maharashtra Board STD 10 question papers→Maharashtra Board question paper generator→

Similar questions

A vertical pole of lenght 7.5m casts a shadow 5m long on the ground and at the same time a tower casts a shadow 24m long. Find the height of the tower.

Show that points A(-4, -7), B(-1, 2), C(8, 5) and D(5, -4) are vertices of a rhombus ABCD.

Very-Short and Short-Answer Qustions:
Write the value of $3\cot^2\theta-3\text{cosec}^2\theta.$

For what value of $\alpha,$ the system of equations will have no solution
$\alpha\text{x}+3\text{y}=\alpha-3$
$12\text{x}+\alpha\text{y}=\alpha$

Prove that, any rectangle is a cyclic quadrilateral.

Rainfall (in mm) recorded in 50 cities in a partial region on a particular day is given below.

Rainfall in mm	36-39	40-43	44-47	48-51	52-55	56-59	60-63
No. of cities	6	7	10	7	7	9	4

Find the mean rainfall on that day in a city by Assumed Mean method.

Solve the following equations by Cramer’s method.
4m – 2n = –4; 4m + 3n = 16

If A = B = 60°, verify that.
$\cos(\text{A}-\text{B})=\cos\text{A}\cos\text{B}+\sin\text{A}\sin\text{B}$

Prove the following trigonometric identities.
$\sec^4\text{A}(1-\sin^4\text{A})-2\tan^2\text{A}=1$

Find the mean marks of the student from the following cumulative frequency distribution.

Marks	Below 10	Below 20	Below 30	Below 40	Below 50	Below 60	Below 70	Below 80	Below 90
No. of students	5	9	17	29	45	60	70	78	83